Question: Begin with the following set of data, call it Data Set I.
5 -2 6 14 -3 0 1 4 3 2 5
a. Compute the mean, median, and mode.
b. Form a new data set, Data Set II, by adding 3 to each number in Data Set I. Calculate the mean, median, and mode of Data Set II.
c. Form a new data set, Data Set III, by subtracting 6 from each number in Data Set I. Calculate the mean, median, and mode of Data Set III.
d. Comparing the answers to parts (a), (b), and (c), can you guess the pattern? State the general principle that you expect to be true.